摘要
含扰动的非线性互联系统的鲁棒控制问题一直是研究的热点。针对此问题,构建了一种非线性互联系统状态观测器,并基于观测器的状态估计值设计了一种状态反馈控制器。对状态估计误差与状态反馈闭环互联系统进行增广联合设计,构造了一种增广李雅普诺夫函数,给出了增广系统渐近稳定的充分条件,保证了状态估计误差趋于零,状态反馈闭环互联系统鲁棒镇定。最后,选取两类互联系统算例对所提控制方法进行仿真验证,仿真结果验证了所构建的状态观测器的可行性和基于估计状态的状态反馈控制器的有效性,所提控制方法为含扰动的非线性互联系统的鲁棒控制问题求解提供了一种参考。
The problem of robust control for nonlinear interconnected systems with perturbations has always been a focus of research.To solve this problem,a state observer for nonlinear interconnected systems is constructed,and a state feedback controller is designed based on the state estimate of the observer.The state estimation error and the state feedback closed-loop interconnected system are designed by augmentation,and an augmentation Lyapunov function is constructed.The sufficient conditions for asymptotic stability of the augmentation system are given,which ensures the state estimation error tends to zero and the state feedback closed-loop interconnected system is robust.Finally,two types of interconnected systems are selected to test the proposed control method.The simulation results verify the feasibility of the proposed state observer and the effectiveness of the state feedback controller based on the estimated state.The proposed control method provides a reference for solving the robust control problem of nonlinear interconnected systems with perturbations.
作者
孙延修
黎虹
刘业峰
SUN Yanxiu;LI Hong;LIU Yefeng(Basic Course Department,Shenyang Institute of Technology,Fushun 113122,China;Liaoning Key Laboratory of Information Physics Fusion and Intelligent Manufacturing for CNC Machine,Shenyang Institute of Technology,Fushun 113122,China;School of Mechanical Engineering and Automation,Shenyang Institute of Technology,Fushun 113122,China)
出处
《控制工程》
北大核心
2025年第1期119-125,共7页
Control Engineering of China
基金
国家自然科学基金资助项目(62073226)
辽宁省自然科学基金重点领域联合开放基金资助项目(2020-KF-11-09)
2020年沈阳工学院青年骨干教师科研基金资助项目(QN202009)。
关键词
观测器
非线性互联系统
控制器
线性矩阵不等式
鲁棒镇定
Observer
nonlinear interconnected system
controller
linear matrix inequality
robust stabilization
